Fusion frames have become a major tool in the implementation of distributed systems. The effectiveness of fusion
frame applications in distributed systems is reflected in the efficiency of the end fusion process. This requires
the inversion of the fusion frame operator which is difficult or impossible in practice. What we want is for the
fusion frame operator to be the identity. But in most applications, especially to sensor networks, this almost
never occurs. We will solve this problem by introducing the notion of non-orthogonal fusion frames which have
the property that in most cases we can turn a family of subspaces of a Hilbert space into a non-orthogonal fusion
frame which has a fusion frame operator which is the identity.